Answer:
87/54 = m
Step-by-step explanation:
-11/6 + m = -2/9
Here is one way to solve this:
First, we can remove the fractions. We can do this by multiplying both sides by both denominators.
multiply both sides by 6
-11 + 6m = -12/9
multiply both sides by 9
-99 + 54m = -12
add 99 to both sides to isolate the m and its coefficient
-12+99= 54m
87 = 54m
divide both sides by 54 to isolate m
87/54 = m
A summer camp has 372 campers who will be going on an outing. Estimate the number of vans needed to accommodate the entire camp if each van can comfortably hold 12 passengers. Then calculate the actual number of vans that will be needed
Answer:
31
Step-by-step explanation:
You divide, 372 divided by 12
the actual number of vans needed is 31 vans to accommodate the entire camp. To estimate the number of vans needed to accommodate the entire camp, we can use the concept of rounding up to the nearest whole number.
The number of vans required will be the total number of campers divided by the capacity of each van (12 passengers), rounded up to the nearest whole number.
Estimate:
Number of vans needed =[tex]\(\frac{372}{12}\)[/tex](rounded up to the nearest whole number)
[tex]\(\frac{372}{12} \approx 31\)[/tex]
So, the estimate suggests that around 31 vans will be needed to accommodate the entire camp.
To calculate the actual number of vans needed, we can use the exact division without rounding up.
Actual number:
Number of vans needed = [tex]\(\frac{372}{12} = 31\)[/tex] vans
Thus, the actual number of vans needed is 31 vans to accommodate the entire camp.
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For the following set of sample data: {10, 50, 60, 70, 75 79, 85, 90, 91, 95, 100, 110} Find the sample mean.
Answer:
76.25
Step-by-step explanation:
Find the y-intercept
of the line on the
graph?
9514 1404 393
Answer:
(0, -3)
Step-by-step explanation:
The y-intercept is the point where the graph crosses the (vertical) y-axis. That point is halfway between grid lines marked -2 and -4, so is at the grid line with the value -3. The x-coordinate there is 0, so the y-intercept point is ...
(x, y) = (0, -3)
_____
Since the y-intercept always has an x-coordinate of 0, we sometimes refer to the y-intercept using only the y-value: -3.
Given H = f(t) where H is the height in meters of an object and t is the time in seconds since it was launched, which of the following is the best interpretation of f(8) = 12?
Answer:
Recall that the height of the object, in meters, is a function of elapsed time, in seconds. Thus what [tex]f(8)=12[/tex] means is that the object is at a height of 8 meters when 12 seconds have passed since its launch.
Best interpretation of the given f(8) = 12 is 8 seconds after the object is launched it is at a height of 12meters.
What is interpretation?
" Interpretation is defined as the explanation of something in your own words or as per your understanding."
According to the question,
Given,
H = f(t)
H represents the height in meters of an object
t represents the time in seconds
Interpretation of the given situation,
f(8) = 12
time = 8seconds
height of the object = 12meters
Hence, interpretation of the given situation is 8 seconds after the object is launched it is at a height of 12meters.
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12.5 x 0.8
(without rounding and pls help me)
Answer:
That’s simple 10
Step-by-step explanation
Let me know if I’m correct
hope this helps
4. Factor: x2 – 36
Help please and show me the work on how to do it
Step-by-step explanation:
(X)^2 - (6)^2
= (x-6)(X+6)
Answer:
[tex](x - 6) \times (x + 6)[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 36[/tex]
write in exponential form.
[tex] {x}^{2} - {6}^{2} [/tex]
factor:
[tex](x - 6) \times (x + 6)[/tex]
Help please! Find the area of the shape below. (Show work)
Answer:
292 yd²
Step-by-step explanation:
First you split the composite shape into two rectangle.
a) Horizontal rectangle - L × W
7 × 26 = 182 yd²
b) Vertical rectangle - L × W
5 × 22 = 110 yd²
Therefore 182 + 110 = 292 yd²
Which would be used to solve this equation? Check all that apply.
р
=12
3
-
subtracting 3 from both sides of the equation
ОО
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
O substituting 36 for p to check the solution
U
Answer:
Multply both side by 3
Step-by-step explanation:
If AED is 95°, find
the measure of
CEB.
Reason:
Answer:
Angle AED = Angle CEB —> Opposite angles
So; Angle CEB = 95°
I hope I helped you^_^
∠AED and ∠CEB are opposite angles so they will be the same so ∠CEB will also 95°.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
Two opposite angles become by the intersection of two lines will always same.
Since E is the intersection point so ∠AED and ∠CEB are opposite angles.
So,
∠AED = ∠CEB
∠CEB = 95°.
Hence "∠AED and ∠CEB are opposite angles so they will be the same so ∠CEB will also be 95°".
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Write the equation of the line that is parallel to the line y=-7/4x-2 through the point (4,-2)
Answer: D
Step-by-step explanation:
m = - 7/4
Point (4, -2)
y - - 2= -7/4(x-4)
y + 2 = - 7/4x + 7
y = - 7/4x +7-2
y = - 7/4 x + 5
The equation of the line that is parallel to the given line is option (D) [tex]y=-\frac{7}{4}x+5[/tex] is the correct answer.
What is equation of a line?The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.
For the given situation,
The line is [tex]y=-\frac{7}{4} x-2[/tex] ------ (1)
The general equation of line in slope intercept form is
[tex]y = mx + c[/tex] ------ (2)
On comparing the equation 1 and 2, we get the slope as
⇒ [tex]m=-\frac{7}{4}[/tex] and
When two lines are parallel, then the slope of the parallel line is equal to the slope of the given line.
So, the slope of the parallel line is [tex]m = -\frac{7}{4}[/tex]
Thus the equation of the parallel line passing through the point (x1,y1) is (4,-2) as,
⇒ [tex]y-y1=m(x-x1)[/tex]
⇒ [tex]y-(-2)=-\frac{7}{4} (x-4)[/tex]
⇒ [tex]y+2=-\frac{7}{4} (x-4)[/tex]
⇒ [tex]y=-\frac{7}{4}x+\frac{7}{4} (4)-2[/tex]
⇒ [tex]y=-\frac{7}{4}x+7-2[/tex]
⇒ [tex]y=-\frac{7}{4}x+5[/tex]
Hence we can conclude that the equation of the line that is parallel to the given line is option (D) [tex]y=-\frac{7}{4}x+5[/tex] is the correct answer.
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brainiest to whoever right.
Answer:
The problems listed are all the formulas for 2d figures:
Area of a Triangle: 1/2 B*H
Area of a Square: S^2
Area of a Rectangle: l*w
Perimeter of a Square: 4s
Perimeter of a Triangle: a+b+c
Perimeter of a Rectangle: 2l+2w
What is -1,098 3/20 minus -895.9
Answer:
the answer is -1445.05.
Answer:
Step-by-step explanation:
the answer is -1445.05.
Help please due today
Answer: Base = 3 Height = 8
Step-by-step explanation:
Base
9 to 1/3 = 3
Height
24 to 1/3 = 8
1. Simplify the expression. –12 ÷ (–2) 24 –24 6 –6
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\dfrac{-12}{-2} \times24-24(6)-6}\\\\\\\boxed{\rightarrow 6(24) - 24(6) - 6}\\\\\\\huge\boxed{\rightarrow{144 - 144 - 6}}\\\\\\\huge\boxed{\rightarrow 0 -6}\\\\\\\huge\boxed{= -6}\\\\\\\\\huge\boxed{\textsf{Therefore, your answer is: \mathsf{-6 }}}\huge\checkmark[/tex]
Good luck on your assignment and enjoy your day!~[tex]\frak{Amphitrite1040:)}[/tex]18- 3 (2) = ?
show your work
help pls lol thanks
Answer:
12 is the answer
Step-by-step explanation:
18- 3×2= 18- 6 = 12
Is 3.6 a natural/counting
Number
Answer:
It’s a rational number
Step-by-step explanation:
Help please due tomorrow
Answer:
Angle BAD corresponds to Angle FEH in the scaled copy.
Angle ABC corresponds to Angle EFG in the scaled copy.
Angle BCD corresponds to Angle FGH in the scaled copy.
Angle ADC corresponds to Angle EHG in the scaled copy.
Help please! Find the perimeter and area of figure 1
Figure 1,
When 1 unit = 1 cm
Perimeter = Boundary of the figure
= 3+3+6
= 12 cm
Area of one square = side * side
= 1*1
No. of squares in the figure = 6 squares
Area = Space occupied inside the figure
= 6 cm^2
Hope it helped :)
PLZZ HELP I NEED HELP
write a 2 step equation and solve:
1. four more than six times a number is 22.
2. five less than eleven times a number is 50.
3. seven less than nine times a number is -16.
Step-by-step explanation:
1) let the number=x
six times a number=6x
Condition:
6x+4=22
2) eleven times a number=11x
Condition:
11x-5=50
3) 9 times a number=9x
Condition:
9x-7=-16
Note:if you need to ask any question please let me know.
Can someone help with this question?
A.38°
B.136°
C.112°
D.92°
Answer:
Step-by-step explanation:
( C ). 112°
Consider the expression
square root a^3 - 7 + b
When a = 2 and b = -4, the value of the expression is
Answer:
5
Step-by-step explanation:
substitute for the the given variables.
a=2
b=-4
sqrt 2^3-7=sqrt 8-7=sqrt1=1
1+absolute value of -4 = 1+4=5
answer 5
In how many ways 4 books can be chosen from 8 different books and be arranged in 4 spaces on a bookshelf?
Answer:
hope this helps
Step-by-step explanation:
3*2 * 1 = 24 ways . It is called arrangement or permutations, while if you need to group some objects it is called combination and there we need to consider unique groups only.
how to find endpoint? please give good explanation
Answer:
(-11 , -16)
Step-by-step explanation:
The midpoint will always be, as the term suggests, in the middle of the line segment. You simply need to find the distance for both x & y, and to apply that to the midpoint. In this case:
Endpoint (x₁ , y₁): (5 , 10)
Midpoint (x₂ , y₂): (-3 , -3)
Note that when finding distance, you will subtract the point₂ from point₁:
x: 5 - (-3) = 8
y: 10 - (-3) = 13
Therefore, each time you plot another point, you will be subtracting 8 from the x value, and 13 from the y value:
Endpoint (x₃ , y₃) = Midpoint (-3 , -3) + (_ - 8 , _ - 13) = (-11 , -16)
(-11 , -16) is your answer.
~
Using midpoint formula
[tex]\boxed{\sf (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]
[tex]\\ \rm\longmapsto (-3,-3)=\left(\dfrac{5+x_2}{2},\dfrac{10+y_2}{2}\right)[/tex]
Firstly
[tex]\\ \rm\longmapsto \dfrac{5+x_2}{2}=-3[/tex]
[tex]\\ \rm\longmapsto 5+x_2=2(-3)=-6[/tex]
[tex]\\ \rm\longmapsto x_2=-6-5[/tex]
[tex]\\ \rm\longmapsto x_2=-11[/tex]
Now
.[tex]\\ \rm\longmapsto \dfrac{10+y_2}{2}=-3[/tex]
[tex]\\ \rm\longmapsto 10+y_2==2(-3)[/tex]
[tex]\\ \rm\longmapsto 10+y_2=-6[/tex]
[tex]\\ \rm\longmapsto y_2=-6-10[/tex]
[tex]\\ \rm\longmapsto y_2=-16[/tex]
Hence the coordinates are
(x2,y2=(-11,-16)How much water should be added to 12mL of 11% alcohol solution to reduce the concentration to 6%
Answer:
We have 12 mL of 11% alcohol.
How much water do we add to make it a 6% solution?
We have 1.32 mL alcohol and 10.68 mL water
x is the water to add
(1.32) / (12 + x) = .06
1.32 = .72 + .06x
.6 = .06x
x = 10 mL
Step-by-step explanation:
Write the perimeter of the rectangle as a simplified expression
The simplified expression for the perimeter of the rectangle is 16x - 4. The perimeter of a rectangle is given by the formula: P = 2 * (length + width).In this case, the length of the rectangle is given as 7x + 1, and the width is given as x - 3.
So, the perimeter can be expressed as: P = 2 * (7x + 1 + x - 3)
Now, let's simplify this expression: P = 2 * (8x - 2)
P = 16x - 4
Therefore, the simplified expression for the perimeter of the rectangle is 16x - 4.
A rectangle is a type of quadrilateral with specific properties that distinguish it from other shapes. Here are some key properties of a rectangle:
Opposite Sides are Equal in Length: In a rectangle, the opposite sides are always equal in length. This means that the length of one pair of parallel sides is the same as the length of the other pair.
Opposite Angles are Equal: The opposite angles in a rectangle are equal in measure. This property makes all angles in a rectangle right angles (90 degrees).
Consecutive Angles are Supplementary: Consecutive angles in a rectangle are supplementary, meaning that the sum of any two consecutive angles is 180 degrees. This property is a consequence of the fact that opposite angles are equal, making each pair of consecutive angles form a linear pair.
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Francisco Typed a 36-word paragraph in minute. What is his typing speed, in
words per minute?
Answer:36
Step-by-step explanation:
It says he typed 36 words in a paragraph in a minute which means he types 36 per minute
6. Solve for x: 23x+1 = 210
Please please give detailed steps!! thank you
Answer:
x = 3
Step-by-step explanation:
Given
[tex]2^{3x+1}[/tex] = [tex]2^{10}[/tex]
Since bases on both sides are equal, both 2, then equate the exponents
3x + 1 = 10 ( subtract 1 from both sides )
3x = 9 ( divide both sides by 3 )
x = 3
The calculation for the correlation, r, for this set of five students is __________. Answer choices are rounded to the hundredths place.
Answer:
im not sure
Step-by-step explanation:
Answer:
0.32
Step-by-step explanation:
6 x 3 1/2.
Please help
Answer:
21
Step-by-step explanation:
6*3 = 18
1/2 = 0.5
6*0.5 = 3
18 + 3 = 21
Answer:
21
Step-by-step explanation: